Shape derivative of cost function for singular point: Evaluation by the generalized J integral

DOI10.14495/jsiaml.6.29zbMath1410.49048OpenAlexW1999892466MaRDI QIDQ3121350

Kohji Ohtsuka, Hideyuki Azegami, Masato Kimura

Publication date: 18 March 2019

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14495/jsiaml.6.29

zbMATH Keywords

boundary value problemshape optimizationcalculus of variations$H_1$ gradient methodgeneralized $J$ integral

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) PDEs in connection with control and optimization (35Q93)

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Inverse problem of shape identification from boundary measurement for Stokes equations: shape differentiability of Lagrangian ⋮ Shape optimization of an electrostatic capacitive sensor ⋮ Optimization of the shape of regions supporting boundary conditions ⋮ Shape optimization approach to defect-shape identification with convective boundary condition via partial boundary measurement ⋮ Shape Differentiability of Lagrangians and Application to Stokes Problem ⋮ Shape optimization of waveguide filter ⋮ Contacting crack faces within the context of bodies exhibiting limiting strains

Cites Work

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• GeneralizedJ-integral and its applications I —Basic theory—
• Shape derivative of potential energy and energy release rate in fracture mechanics

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